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28057984 = 271983139
BaseRepresentation
bin110101100001…
…0000110000000
31221210111022121
41223002012000
524140323414
62441214024
7460326463
oct153020600
957714277
1028057984
1114924419
129491314
135a75076
143a252da
1526e3724
hex1ac2180

28057984 has 64 divisors (see below), whose sum is σ = 59976000. Its totient is φ = 13036032.

The previous prime is 28057979. The next prime is 28058021. The reversal of 28057984 is 48975082.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×280579842 = 1574500932288512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28057984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201787 + ... + 201925.

It is an arithmetic number, because the mean of its divisors is an integer number (937125).

Almost surely, 228057984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29988000).

28057984 is an abundant number, since it is smaller than the sum of its proper divisors (31918016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28057984 is a wasteful number, since it uses less digits than its factorization.

28057984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 28057984 is about 5296.9787615206. The cubic root of 28057984 is about 303.8683640608.

The spelling of 28057984 in words is "twenty-eight million, fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 128 139 152 166 278 304 332 556 608 664 1112 1216 1328 1577 2224 2432 2641 2656 3154 4448 5282 5312 6308 8896 10564 10624 11537 12616 17792 21128 23074 25232 42256 46148 50464 84512 92296 100928 169024 184592 201856 219203 338048 369184 438406 738368 876812 1476736 1753624 3507248 7014496 14028992 28057984